Gauss reduction word problem

TsAmE

Junior Member
Joined
Aug 28, 2010
Messages
55
Your fish tank contains three types of carnivorous creatures: baby sharks, piranhas and squids. You feed them three types of delicacies: goldfish, angelfish and butterfly fish. Each baby shark can consume one goldfish, two angelfish and two butterfly fish per day; each piranha can consume one goldfish and three butterfly fish per day (the piranhas are rather large because of their diet); and each squid can consume one goldfish and one angelfish per day. After a trip to the local pet store, you were able to feed your creatures to capacity, and you noticed that 21 goldfish, 21 angelfish and 35 butterfly fish were eaten. How many of each type of creature do you have?

I tried making baby sharks = x, piranhas = y and squids = z, but then when I saw that there were other fish such as: goldfish, angelfish and butterfly fish, this confused me. I think that 21 goldfish, 21 angelfish and 35 butterfly must be the constants in the matrix since these were the only constants given, but otherwise I dont know how to setup the matrix.
 
TsAmE said:
Your fish tank contains three types of carnivorous creatures: baby sharks, piranhas and squids. You feed them three types of delicacies: goldfish, angelfish and butterfly fish. Each baby shark can consume one goldfish, two angelfish and two butterfly fish per day; each piranha can consume one goldfish and three butterfly fish per day (the piranhas are rather large because of their diet); and each squid can consume one goldfish and one angelfish per day. After a trip to the local pet store, you were able to feed your creatures to capacity, and you noticed that 21 goldfish, 21 angelfish and 35 butterfly fish were eaten. How many of each type of creature do you have?

I tried making baby sharks = x, piranhas = y and squids = z, but then when I saw that there were other fish such as: goldfish, angelfish and butterfly fish, this confused me. I think that 21 goldfish, 21 angelfish and 35 butterfly must be the constants in the matrix since these were the only constants given, but otherwise I dont know how to setup the matrix.

2x + 0y + 1z = 21

1x + 1y + 1z = 21

2x + 3y + 0z = 35
 
Top